Question

A random sample of 200 cans containing baby food has mean height 999.5 gms and standard deviation 15 gms. Test whether the contents of the cans can be considered as 1 kg. (Test at 1% level of significance.)

Answer 1

Given: n = 200, x̄ = 999.5 gms, 

s = 15 gms, µ = 1 kg 

i.e., µ = 1000 gms.

H₀: The contents of the can is 1 kg. 

(i.e., H₀: µ = 1000 gms.)

H₁: The contents of the can is less than 1 kg 

(i.e., H₁ : µ < 1000 gms)

At α = 1% the left/lower tail critical value is k = -2.33

Here, Z_cal = -0.47 is in acceptance region.

∴ H₀ is accepted; 

Conclusion: The contents of the can be considered as 1 kg.